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Finding the Fourth Proportional to 493,882.18, 740,951.10 and 152,318.06

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Solution

The fourth proportional to 493,882.18, 740,951.10 and 152,318.06 is: 228,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,882.18 : 740,951.10 = 152,318.06 : x
  2. Step 2: Convert to fraction form
    493,882.18/740,951.10 = 152,318.06/x
  3. Step 3: Cross multiply
    493,882.18x = 740,951.10 × 152,318.06
  4. Step 4: Simplify right side
    493,882.18x = 112,860,234,106.87
  5. Step 5: Solve for x
    x = 112,860,234,106.87/493,882.18
  6. Step 6: Final answer
    x = 228,516.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.